30823400608 has 216 divisors, whose sum is σ = 83567152116. Its totient is φ = 11084451840.

The previous prime is 30823400599. The next prime is 30823400623. The reversal of 30823400608 is 80600432803.

It can be written as a sum of positive squares in 2 ways, for example, as 29855692944 + 967707664 = 172788^2 + 31108^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2460216 + ... + 2472712.

Almost surely, 2^30823400608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30823400608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783576058).

30823400608 is an abundant number, since it is smaller than the sum of its proper divisors (52743751508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30823400608 is a wasteful number, since it uses less digits than its factorization.

30823400608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 30823400608 in words is "thirty billion, eight hundred twenty-three million, four hundred thousand, six hundred eight".